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White raven [17]
3 years ago
7

if U={natural number less than 10}, M={multiples of 2}, N={factors of 8} and O={even number} then can we write M intersection (N

intersection O) = (M intersection N) intersection O? verify​
Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

u={1,2,3,4,5,6,7,8,9}

m={2,4,6,8}

N={1,2,4,8}

O={2,4,6,8}

Now

M intersection (N intersection O) = (M intersection N) intersection O

or , {2,4,6,8} intersection {2,4,8} ={2,4,8}

intersection {2,4,6,8 }

:. {2,4,8} ={2,4,8}

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Fill in the missing number in this newspaper report:
natka813 [3]

Answer:

£125000

Step-by-step explanation:

Original cost of house = £100 000

Percent increase = 25%

Increase in price = 25% of 100,000

Increase in price = 0.25 * 100,000

Increase in price = 25000

New cost = original cost + Increment

New cost = 100,000 + 25,000

New cost = 125,000

Hence it now cost  £125000

8 0
3 years ago
Describe any domain restrictions that make sense for each of these scenarios: The price of a stock fluctuates several times thro
mrs_skeptik [129]

Answer:

  • a) Restriction: days of the year (a discrete time)

  • b) The time the ball is on the air: t = 0, until the balls touchs the ground (any real value from t = 0 to t when the ball hits the ground)

  • c) Any positive real value: x ≥ 0

Explanation:

The <em>domain </em>is the set of elements that can be inputs of the <em>function</em>.

<u><em>1. The price of a stock fluctuates several times throughout the year as a function of time.</em></u>

The input variable is the time through out the year.

If you assume that the fluctuaion is recorded once a day, and not every second, the logical assumption is that the time is a day of the year.

Thus, the restricion is the days of the year.

You could represent them in different forms, like DD/MM/YY, or even as a number from 1 to 365 if it covers just one year.

<u><em></em></u>

<u><em>2. A ball is hit into the air by a baseball player, rises until it reaches its highest point, and then falls into left field.</em></u>

The domain is the time the ball is on the air, which may be any real value from t = 0, until the balls touchs the ground.

It is not restricted to integer numbers.

<u><em>3. The volume of a spherical balloon increases as the balloon is blown up and decreases as air is let out of it.</em></u>

The inputs of the function are amounts of air, which may be measured as number of moles.

The number of moles can be any real value equal or greater than zero.

Thus, the domain is the positive real values x ≥ 0.

8 0
3 years ago
Read 2 more answers
Mr. Swanson has $350 to order music books for the new school year. Music books cost $10 each and come in packages of 5. Mr. Swan
Talja [164]
Answer:
$300

Explanation:
$10(cost of 1 book) x 5(how many comes in packages) = 50 ( total cost of 1 package)
Mr. Swanson ordered 6 so...
$50 x 6 = $300
Mr. Swanson would have $50 let's over
3 0
3 years ago
(15/8+2/5)+(-7/8) show ur work
stepan [7]
The answer is 7/5 th. You can add fractions without first having a common denominator so you would change the 8's by multiplying it by 5 to get 40 and you would multiply the 5 by 8 to get 40 as well. And the rule whatever you do to the bottom you have to do to the top so whatever you multiplied 8 by do the same for the numerator and whatever you multiplied 5 by you do the same for the numerator. So your new equation would be (75/40+16/40)+(-35/40). you would then add the numerator's across to get 56 and the denominator would stay the same so the answer is 56/40. But you have to now simplify 56/40 down to 14/10 and then once more to 7/5 which is the final answer.
6 0
3 years ago
Help please!!!! i dont know how to do this
IRINA_888 [86]

All the angles created by the transversal intersecting through a pair of parallel lines have got many names and connections with each other, like Alternate Angles, Corresponding angles, consecutive interior angles etc.

As per the question statement, We are given a pair of parallel lines which is cut by a transversal. We are supposed to mark the following angles.

Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles and Consecutive Interior Angles.

Here is an attached image of the same with angles marked on it.

Alternate Interior Angles: ∠3 = ∠5 and ∠4=∠6

Alternate Exterior Angles: ∠2=∠8 and ∠1=∠7

Corresponding Angles: ∠1=∠5 , ∠4=∠8 , ∠3=∠7 and ∠2=∠6

Consecutive Interior Angles: ∠4=∠5 and ∠3=∠6

  • Parallel Lines: Parallel lines are those straight lines that are, no matter how far they are extended, always the same distance apart from one another.
  • Transversal Line: In geometry, a transversal line intersects two lines in the same plane at two different locations.

To learn more about Transversal Line click on the link given below:

brainly.com/question/24770636

#SPJ1

8 0
1 year ago
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